Numerical Solution

If however we solve the system numerically (using your chosen software) then we can see some interesting things. First let us set up the population. If we have our initial conditions as follows then we can plot the number of predators and the numbers of prey.

Variable Value
N 10
P 10
a 0.1
b 0.02
c 0.02
d 0.4
10 animals
20 animals
30 animals
40 animals

If we increase the initial number of prey to 20 then the plot changes.

Number of Predator and Prey against Time - starting with 20 prey

This plot has the same pattern of oscillation but the numbers are different. In this case the predators don't drop as much and the numbers of prey don't get as high.

Information

This resource was created as part of the Educational Development Unit's ASP2 project, developing resources for the Applied Science degree at the University of the Highlands and Islands.

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